Semiclassical Energy Levels of Sine-Gordon Model on a Strip with Dirichlet Boundary Conditions
arXiv:hep-th/0406246 · doi:10.1016/j.nuclphysb.2004.10.061
Abstract
We derive analytic expressions of the semiclassical energy levels of Sine-Gordon model in a strip geometry with Dirichlet boundary condition at both edges. They are obtained by initially selecting the classical backgrounds relative to the vacuum or to the kink sectors, and then solving the Schodinger equations (of Lame' type) associated to the stability condition. Explicit formulas are presented for the classical solutions of both the vacuum and kink states and for the energy levels at arbitrary values of the size of the system. Their ultraviolet and infrared limits are also discussed.
14 pages, 7 figures
References in corpus (2)
Cited by in corpus (11)
- Deformed defects for scalar fields with polynomial interactions
- Neutral Bound States in Kink-like Theories
- Finite size effects in quantum field theories with boundary from scattering data
- Study of models of the sine-Gordon type in flat and curved spacetime
- New family of sine-Gordon models
- Kink scaling functions in 2D non--integrable quantum field theories
- Boundary one-point function, Casimir energy and boundary state formalism in D+1 dimensional QFT
- (Semi)classical analysis of sine-Gordon theory on a strip
- Integrability, Non-integrability and confinement
- Boundary Giant Magnons and Giant Gravitons
- Semiclassical Methods in 2D QFT: Spectra and Finite-Size Effects